Question

A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that `1/8` space is covered by the mortar. Then the number of bricks used to construct the wall is ______.

विकल्प

• 11100

• 11200

• 11000

• 11300

Answer 1

A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that `1/8` space is covered by the mortar. Then the number of bricks used to construct the wall is 11200.

Explanation:

Volume of the wall

= 270 × 300 × 350  ...[∵ Volume of cuboid = length × breadth × height]

= 28350000 cm³

Since, `1/8` space of wall is covered by mortar.

So, remaining space of wall

= Volume of wall – Volume of mortar

= `28350000 - 28350000 xx 1/8`

= 28350000 – 3543750

= 24806250 cm³

Now, volume of one brick

= 22.5 × 11.25 × 8.75  ...[∵ Volume of cuboid = length × breadth × height]

= 2214.844 cm³

∴ Required number of bricks = `24806250/2214.844` = 11200 (approx)

Hence, the number of bricks used to construct the wall is 11200.